Optimization of the radar ambiguity function - Application to chaotic sequences

Zouhair Ben Jemaa (1) , Sylvie Marcos (2) , Safya Belghith (1)

1 ENIT - Ecole Nationale d'Ingénieurs de Tunis
2 L2S - Laboratoire des signaux et systèmes

In this paper we propose a statistical approach for the optimization of the phased codes used in radar. By considering each code as a realization of a random variable we show that we can build good codes if the distribution of the random variable is suitably chosen. We then consider sequences generated by the skew tent map and we show that for some values of the bifurcation parameter the invariant probability density coincides with the desired one. To confirm this idea we compute the maximal peak of the ambiguity function outside zero relative to the bifurcation parameter of the skew tent map.

Keywords: SIMO radar; ambiguity function; chaotic sequences; skew tent map; invariant probability density

Domains: Engineering Sciences [physics]; Signal and Image processing

Zouhair Ben Jemaa, Sylvie Marcos, Safya Belghith. Optimization of the radar ambiguity function - Application to chaotic sequences. The 7th International Conference on Wireless Networks and Mobile Communications (WINCOM 2019), Oct 2019, Fez, Morocco. ⟨10.1109/WINCOM47513.2019.8942484⟩. ⟨hal-02406271⟩